dorsal/arxiv
View SchemaThe classical limit of non-integrable quantum systems
| Authors | Mario Castagnino, Olimpia Lombardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503118 |
| URL | https://arxiv.org/abs/quant-ph/0503118 |
| DOI | 10.1590/S0103-97332005000300002 |
Abstract
The classical limit of non-integrable quantum systems is studied. We define non-integrable quantum systems as those which have, as their classical limit, a non-integrable classical system. In order to obtain this limit, the self-induced decoherence approach and the corresponding classical limit are generalized from integrable to non-integrable systems. In this approach, the lost of information, usually conceived as the result of a coarse-graining or the trace of an environment, is produced by a particular choice of the algebra of observables and the systematic use of mean values, that project the unitary evolution onto an effective non-unitary one. The decoherence times computed with this approach coincide with those of the literature. By means of our method, we can obtain the classical limit of the quantum state of a non-integrable system, which turns out to be a set of unstable, potentially chaotic classical trajectories contained in the Wigner transformation of the quantum state.
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"abstract": "The classical limit of non-integrable quantum systems is studied. We define\nnon-integrable quantum systems as those which have, as their classical limit, a\nnon-integrable classical system. In order to obtain this limit, the\nself-induced decoherence approach and the corresponding classical limit are\ngeneralized from integrable to non-integrable systems. In this approach, the\nlost of information, usually conceived as the result of a coarse-graining or\nthe trace of an environment, is produced by a particular choice of the algebra\nof observables and the systematic use of mean values, that project the unitary\nevolution onto an effective non-unitary one. The decoherence times computed\nwith this approach coincide with those of the literature. By means of our\nmethod, we can obtain the classical limit of the quantum state of a\nnon-integrable system, which turns out to be a set of unstable, potentially\nchaotic classical trajectories contained in the Wigner transformation of the\nquantum state.",
"arxiv_id": "quant-ph/0503118",
"authors": [
"Mario Castagnino",
"Olimpia Lombardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1590/S0103-97332005000300002",
"title": "The classical limit of non-integrable quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0503118"
},
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